Fractional Hardy-Sobolev-Maz'ya inequality for domains
Bartłomiej Dyda ; Rupert L. Frank
Studia Mathematica, Tome 209 (2012), p. 151-166 / Harvested from The Polish Digital Mathematics Library
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We prove a fractional version of the Hardy-Sobolev-Maz’ya inequality for arbitrary domains and Lp norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285649 
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Bartłomiej Dyda; Rupert L. Frank. Fractional Hardy-Sobolev-Maz'ya inequality for domains. Studia Mathematica, Tome 209 (2012) pp. 151-166. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-2-3/